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142046532 = 223283137347
BaseRepresentation
bin10000111011101…
…11010101000100
3100220021201012200
420131313111010
5242330442112
622032314500
73343242555
oct1035672504
9326251180
10142046532
11731aa731
123b6a2a30
1323575a04
1414c1832c
15c70ccdc
hex8777544

142046532 has 72 divisors (see below), whose sum is σ = 367095456. Its totient is φ = 46303104.

The previous prime is 142046521. The next prime is 142046533. The reversal of 142046532 is 235640241.

142046532 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 4 + 653 + 2 = 666.

142046532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 142046496 and 142046505.

It is not an unprimeable number, because it can be changed into a prime (142046533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409183 + ... + 409529.

It is an arithmetic number, because the mean of its divisors is an integer number (5098548).

Almost surely, 2142046532 is an apocalyptic number.

142046532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142046532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183547728).

142046532 is an abundant number, since it is smaller than the sum of its proper divisors (225048924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142046532 is a wasteful number, since it uses less digits than its factorization.

142046532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142046532 is about 11918.3275672386. The cubic root of 142046532 is about 521.7673248496.

Adding to 142046532 its reverse (235640241), we get a palindrome (377686773).

It can be divided in two parts, 14204 and 6532, that added together give a 4-th power (20736 = 124).

The spelling of 142046532 in words is "one hundred forty-two million, forty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 137 166 249 274 332 347 411 498 548 694 747 822 996 1041 1233 1388 1494 1644 2082 2466 2988 3123 4164 4932 6246 11371 12492 22742 28801 34113 45484 47539 57602 68226 86403 95078 102339 115204 136452 142617 172806 190156 204678 259209 285234 345612 409356 427851 518418 570468 855702 1036836 1711404 3945737 7891474 11837211 15782948 23674422 35511633 47348844 71023266 142046532